Exact calculation of the magnetocaloric effect in the spin-1/2 XXZ chain

Details Exact calculation of the magnetocaloric effect in the spin-1/2 XXZ chain Exact calculation of the magnetocaloric effect in the spin-1/2 XXZ chain

2009-12-30

arxiv.org/abs/0912.5428v1

Phys. Rev. B 81, 054402 (2010)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages REVTeX4 including 7 figures, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.81.054402

We calculate the entropy and cooling rate of the antiferromagnetic spin-1/2 XXZ chain under an adiabatic demagnetization process using the quantum transfer-matrix technique and non-linear integral equations. The limiting case of the Ising chain (corresponding to infinitely large anisotropy) is presented for comparison. Our exact results for the Heisenberg chain are used as a crosscheck for the numerical exact diagonalization as well as Quantum Monte Carlo simulations and allow us to benchmark the numerical methods. Close to field-induced quantum phase transitions we observe a large magnetocaloric effect. Furthermore, we verify universal low-temperature power laws in the cooling rate and entropy, in particular linear scaling of entropy with temperature T in the gapless Luttinger-liquid state and scaling as \sqrt{T} at field-induced transitions to gapped phases.

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